Beeing occupied for a while by the Neptunian resonances I discovered in the Wiki Pages the number of known Trojans has grown to six nowadays . All of them are correlated with the L4 point , but each of them has its particular orbit . The animation herunder shows the path of the 6 Trojans in rotating frame to Neptune . Each frame covers 164.8 years . Simulation was run for 14500 year from now. Initial conditions : courtesy of JPL minor body center .

Uranus has P 84 y , Neptune has P 164.8 years . So they are almost at 1:2 resonance . If they had been at 1:2 resonance Uranus orbit would appear elliptical and stable . As this isn't the case the orbit seems to precess ... I don't think Uranus will ever come in resonance with Neptune

Uranus is near (coincidental) the 2:1 resonance with Neptune, but it does not librate, thus we get more of a constant 360 degree wobble. See 2 Pallas on wikipedia for a good example of a non-librating near resonance. http://en.wikipedia.org/wiki/2_Pallas#Characteristics

Frank; Which trojan is producing the central poorboy valentine day heart?

Might be nice to have have a simple animation with just him given that valentine's day is coming. -- Kevin

Uranus has P 84 y , Neptune has P 164.8 years . So they are almost at 1:2 resonance . If they had been at 1:2 resonance Uranus orbit would appear elliptical and stable . As this isn't the case the orbit seems to precess ... I don't think Uranus will ever come in resonance with Neptune

So, that's what they went looking for Neptune for... When they saw that Uranus was not where it was supposed to be they proposed Neptune. And found it!

Currently at Wikipedia, Jupiter Trojans is undergoing a wikipedia peer review for improvement. They have a generic animation of the orbit of 624 Hektor compared to Jupiter, but I am sure GravSim can do better. I recommend 624 Hektor because it has the best developed Jupiter trojan wiki article. http://en.wikipedia.org/wiki/Jupiter_Trojan

The picture above shows the 6 known Neptunian Trojans on a normal rotating frame to Neptune . In order to represent somehow the strong inclination of some of these trojans I created the same simulation , but this time viewed from aside ( to be more precise : Y,Z representation) . You can interprete the animation hereunder as if you were looking at the animation above from the right side . Simulation runs for ca. 9400 years , corresponding with the libration period . Jupiter and Saturn aren't represented . An interesting by-product is the strange flexing orbit of Uranus in this view which I don't fully understand .